Reel eksende değişken üslü Lebesgue uzaylarda Fejér ortalamalar

Abstract

Variable exponent Lebesgue spaces are generalizations of classical Lebesgue spaces and have importance in many branches of Mathematical Analysis. Especially, direct and converse theorems and their improvements are studied by many mathematicians in these spaces. In this article, direct and converse predictions for the rate of convergence of Fejér means of functions belonging to the variable Lebesgue space L^p(⋅) (R) are established by using an appropriate K-functional. In this way, the result of Z. Ditzian on Fejér means in classical Lebesgue spaces L^p (R)(1